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LCM of 962, 917, 898, 713, 502

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 962, 917, 898, 713, 502 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 962, 917, 898, 713, 502. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,917,898,713,502

Given numbers are 962,917,898,713,502

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 962,917,898,713,502 is 70884943909598.

Find LCM of 962,917,898,713,502 with Prime Factorization


2 962, 917, 898, 713, 502
481, 917, 449, 713, 251

Multiply the prime numbers at the bottom and the left side.

2 x 481 x 917 x 449 x 713 x 251 = 70884943909598

Therefore, the lowest common multiple of 962,917,898,713,502 is 70884943909598.

LCM Formula to Find Lowest Common Multiple of 962,917,898,713,502

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

962 x 917 x 898 x 713 x 502 = 283539775638392

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

962 : 1, 2, 13, 26, 37, 74, 481, 962

917 : 1, 7, 131, 917

898 : 1, 2, 449, 898

713 : 1, 23, 31, 713

502 : 1, 2, 251, 502

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,917,898,713,502, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

917:7x 131

898:2x 449

713:23x 31

502:2x 251

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 283539775638392/(1x4)

LCM = 283539775638392/4

LCM = 70884943909598

Thus, we can understand that the LCM of 962,917,898,713,502 is 70884943909598.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 962, 917, 898, 713, 502

1. What is the LCM of 962, 917, 898, 713, 502?

Answer: LCM of 962, 917, 898, 713, 502 is 70884943909598.

2. How to calculate the LCM of 962, 917, 898, 713, 502?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 962, 917, 898, 713, 502.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.